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SUMMARY:High-frequency scattering by spheres and cylinders - Chris Linton 
 (Loughborough University)
DTSTART:20230208T110000Z
DTEND:20230208T114500Z
UID:TALK194779@talks.cam.ac.uk
DESCRIPTION:Electromagnetic scattering by a penetrable sphere is the canon
 ical problem that lies at the heart of theories of the rainbow. It is rela
 tively straightforward to solve this problem via separation of variables (
 often referred to as Mie theory in this context). This leads to a series w
 hich converges for all frequencies but which becomes computationally ineff
 ective at high frequencies. As a consequence\, there have been extensive a
 ttempts over the years to derive asymptotic solutions in the high-frequenc
 y regime and this has been very successful in improving our understanding 
 of the complex phenomena which this physical problem exhibits. The challen
 ge remains to extract all the phenomena direct from the Mie solution and t
 o use the Mie solution to devise a numerical scheme that can compute the s
 olution to arbitrary accuracy for high frequencies. The starting point for
  such an approach is the Watson transform. With this in mind\, this talk w
 ill focus on perhaps the simplest relevant canonical problem\, namely acou
 stic scattering by a circular cylinder with Dirichlet boundary conditions 
 and describe what the challenges are to achieving the goal of a solution w
 hich is valid everywhere in the fluid domain and which can be used to comp
 ute that solution efficiently at high frequencies.
LOCATION:Seminar Room 1\, Newton Institute
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